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Simplifying 6(x + -6) + 6 = 8x + 10 Reorder the terms: 6(-6 + x) + 6 = 8x + 10 (-6 * 6 + x * 6) + 6 = 8x + 10 (-36 + 6x) + 6 = 8x + 10 Reorder the terms: -36 + 6 + 6x = 8x + 10 Combine like terms: -36 + 6 = -30 -30 + 6x = 8x + 10 Reorder the terms: -30 + 6x = 10 + 8x Solving -30 + 6x = 10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -30 + 6x + -8x = 10 + 8x + -8x Combine like terms: 6x + -8x = -2x -30 + -2x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -2x = 10 + 0 -30 + -2x = 10 Add '30' to each side of the equation. -30 + 30 + -2x = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = 10 + 30 -2x = 10 + 30 Combine like terms: 10 + 30 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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